This article is cited in 16 papers

Best quadrature formula for some classes of periodic differentiable functions

A. A. Zhensykbaev


Abstract: In this work there is solved the problem of the best quadrature formula of the form
$$ \int_0^1f(x)\,dx=\sum_{i=1}^na_if(x_i)+R(f) $$
on the classes of periodic functions $W^r_p$ ($r=1,2,\dots$; $1\leqslant p\leqslant\infty$).
Bibliography: 13 titles.

UDC: 517.5

MSC: 41A15, 41A55

Received: 19.01.1976

 English version: Mathematics of the USSR-Izvestiya, 1977, 11:5, 1055–1071

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